Vortex Funnel

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Job Description

Create a vortex funnel using an explicit equation-defined curve and revolved base: y= 1/x-(r+c)+(1/h)

where r is the radius of the coin or marble to go through the funnel, c is the clearance for the ball to go through the funnel, and h is the desired height of the funnel (the height approaches h as x becomes large). You may design the funnel to your liking, though I suggest using the following initial values: r = 1/2 inch, c = 1/16 inch, and h = 10 inch. Define your function x1 and x2 domain such that the diameter at the small end of the funnel is 2*(r + c) and the maximum diameter does not exceed 12 inches.